The organisers of a sporting event know that, on average, 50 000 people will visit the venue
each day. They are presently charging $15.00 for an admission ticket. Each time in the past
when they have raised the admission price an average of 2500 fewer people have come to the
venue for each $1.00 increase in ticket price. Let x represent the number of $1.00 increases.
a Write the rule for a function which gives the revenue, R, in terms of x.
b Sketch the graph of R against x.
c Find the price which will maximise the revenue.